Mazur formed her first band Zirenes in 1973 as a pianist/composer, and by 1975 she was also working regularly as percussionist, drummer and singer for various groups. Her breakthrough on the Danish scene happened in 1978 with the popular fusion band Six Winds with drummer Alex Riel and as leader of the all-women music-theatre group, Primi Band. In 1983, she received The Ben Webster Award and formed the jazz quartet MM4 with saxophonist Uffe Markussen. Since then she has continued to develop her uniquely personal musical vision with various kindred spirits.